55641500 has 48 divisors (see below), whose sum is σ = 127938720. Its totient is φ = 21081600.

The previous prime is 55641499. The next prime is 55641503. The reversal of 55641500 is 514655.

It is a self number, because there is not a number n which added to its sum of digits gives 55641500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55641503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6572 + ... + 12428.

It is an arithmetic number, because the mean of its divisors is an integer number (2665390).

Almost surely, 2^55641500 is an apocalyptic number.

55641500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55641500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63969360).

55641500 is an abundant number, since it is smaller than the sum of its proper divisors (72297220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55641500 is a wasteful number, since it uses less digits than its factorization.

55641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 55641500 is about 7459.3230255835. The cubic root of 55641500 is about 381.7680764663.

The spelling of 55641500 in words is "fifty-five million, six hundred forty-one thousand, five hundred".